Modular invariance and twisted cancellations of characteristic numbers

Chen, Qingtao; Han, Fei

doi:10.1090/S0002-9947-08-04703-X

Modular invariance and twisted cancellations of characteristic numbers
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by Qingtao Chen and Fei Han PDF

Trans. Amer. Math. Soc. 361 (2009), 1463-1493 Request permission

Abstract:

By studying modular invariance properties of some characteristic forms, which are related to elliptic genera, we obtain twisted cancellation formulas for characteristic forms. We apply these twisted cancellation formulas to study divisibilities on spin manifolds and congruences on spin$^c$ manifolds. In particular, we obtain twisted Rokhlin congruences for $8k+4$ dimensional spin$^c$ manifolds.

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